18–21 Apr 2024
WFAIS UJ
Europe/Zurich timezone

Graph theory in food web analysis

19 Apr 2024, 17:55
25m
WFAIS UJ

WFAIS UJ

Faculty of Physics, Astronomy and Applied Computer Science, prof. St. Łojasiewicza 11, Kraków
Talk

Speaker

Magda Wójtowicz (Faculty of Mathematics and Computer Science, Jagiellonian University in Kraków, Poland)

Description

Food webs are not just a topic for elementary school lessons; they are an interesting example of a discrete mathematical model, ideally represented through directed graphs. In my talk, I will cover the key concepts of graph theory necessary to analyze food webs. Then, I will explain how to apply them to model the relationships between predators and prey, determine the trophic levels and status of different species within a web. Additionally, I will introduce the concept of a competition graph corresponding to the food web (a graph where each vertex represents a species, and there's an edge between two species if they share a common prey) and explore its connections to interval graphs, which are intersection graphs of a family of intervals on a real line.

Field Mathematics
Length Long 20 min

Author

Magda Wójtowicz (Faculty of Mathematics and Computer Science, Jagiellonian University in Kraków, Poland)

Presentation materials

There are no materials yet.